Finding the Third Proportional to 16,519 and 25,585.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,519 : 25,585.50 = 25,585.50 : x
2. Step 2: Convert to fraction form
   16,519/25,585.50 = 25,585.50/x
3. Step 3: Cross multiply
   16,519x = 25,585.50 × 25,585.50
4. Step 4: Simplify right side
   16,519x = 654,617,810.25
5. Step 5: Solve for x
   x = 654,617,810.25/16,519
6. Step 6: Final answer
   x = 39,628.17